Pith Number

pith:5256D2IT

pith:2011:5256D2ITYEZ5YJAZD7K6Y3UQKA

not attested not anchored not stored refs pending

Inverse Additive Problems for Minkowski Sumsets I

D. Grynkiewicz, G. A. Freiman, O. Serra, Y. V. Stanchescu

arxiv:1105.5153 v1 · 2011-05-25 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5256D2ITYEZ5YJAZD7K6Y3UQKA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:07:02.394085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eebbe1e913c133dc24191fd5ec6e905008739b09e2fbd85421f7fa71bc3f2ec8

Aliases

arxiv: 1105.5153 · arxiv_version: 1105.5153v1 · doi: 10.48550/arxiv.1105.5153 · pith_short_12: 5256D2ITYEZ5 · pith_short_16: 5256D2ITYEZ5YJAZ · pith_short_8: 5256D2IT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5256D2ITYEZ5YJAZD7K6Y3UQKA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: eebbe1e913c133dc24191fd5ec6e905008739b09e2fbd85421f7fa71bc3f2ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f24a1271acf87f950ef20741d42f99f7fe9b555df096474fd75d67f5709a2a4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-25T21:13:58Z",
    "title_canon_sha256": "847f3bd877126ed3645af1bebc86db0a753a32dea743e4b94c91716e289ef861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5153",
    "kind": "arxiv",
    "version": 1
  }
}